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13. oscillations — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysics13. oscillations1 Mark
MCQ
The maximum speed of a particle executing $S.H.M.$ is $1\,m/s$ and its maximum acceleration is $1.57\,m/se{c^2}$. The time period of the particle will be .... $\sec$
  • A
    $1/1.57$
  • B
    $1.57$
  • C
    $2$
  • ✓
    $4$
✓

Answer

Correct option: D.
$4$
d
(d) Given max velocity $\omega a = 1$ and maximum acceleration ${\omega ^2}a = 1.57$
$\therefore \frac{{{\omega ^2}a}}{{\omega a}} = 1.57 $

$\Rightarrow \omega = 1.57$

$ \Rightarrow \frac{{2\pi }}{T} = 1.57$

$\Rightarrow T = 4$

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